Nematicons in liquid crystals by extended trial equation method

Author:

Ekici Mehmet1,Mirzazadeh Mohammad2,Sonmezoglu Abdullah1,Ullah Malik Zaka3,Zhou Qin4,Moshokoa Seithuti P.5,Biswas Anjan35,Belic Milivoj6

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey

2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

3. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, PO Box-80203, Jeddah-21589, Saudi Arabia

4. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P. R. China

5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa

6. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper employs extended trial equation method to retrieve nematicons in liquid crystals from its governing equation. In addition, several other forms of solution naturally emerged from the integration algorithm. These are shock waves, singular solitons, snoidal waves, periodic singular waves, plane waves and others. These variety of solutions are being reported for the first time in the context of liquid crystals.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

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